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grigory [225]
3 years ago
10

What is the simplest form for 9/72

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0
<span> 9/72 in simplest form is 1/8.  1/8 =  one eighth.</span>
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Treasury bills are paying a 4% rate of return. A risk-averse investor with a risk aversion of A = 1.85 should invest entirely in
kumpel [21]

Answer:

14.656%

Step-by-step explanation:

Data provided in the question:

Rate of return, r = 4% = 0.04

Risk aversion of A = 1.85

Standard deviation, σ = 24%

Now,

we have the relation

A = (E - r) ÷ σ²

E = expected return on portfolio

r = Risk free rate

on substituting the respective values, we get

1.85 = (E - 0.04) ÷ (0.24)²

or

0.0576 × 1.85 = (E - 0.04)

or

0.10656 + 0.04 = E

or

E = 0.14656 or

E = 0.14656 × 100% = 14.656%

8 0
3 years ago
A delivery truck driver charges a fixed base price of $6 for 2 miles.
stiv31 [10]

Answer:

Option B.

Step-by-step explanation:

It is given that a delivery truck driver charges a fixed base price of $6 for 2 miles.

After 2 miles, he charges an additional $2 for every mile and after 6 miles, he charges an additional $4 for every mile.

We need to describe the cost of the delivery truck between 1 mile and 2 miles.

In the given graph x-axis represents the distance in miles and y-axis represents the cost in dollars.

From the given graph it is clear that the value of function is constant between x=1 and x=2.

It means the cost of the delivery truck between 1 mile and 2 miles is constant.

Therefore, the correct option is B.

5 0
3 years ago
Last month, a car dealership sold 80 cars. Of all the cars sold, 15% of them were red. How many cars that were sold were red?
horsena [70]

Answer:

12 red cars

Step-by-step explanation:

15% is 0.15

So, you do 80 × 0.15, which is 12.

8 0
3 years ago
Triangle MNO is similar to triangle PRS. Find the measure of side PR. Round your
Fudgin [204]

Answer:

PR = 34.4

Step-by-step explanation:

x/54 = 7/11

11x = 378

x = 34.4

7 0
3 years ago
Given: ABCD is a trapezoid, m∠1=m∠2, m∠3=m∠4, AB = CD, AC ∩ BD = O <br> Prove: m∠AOD = m∠BCD
LiRa [457]
Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D

Therefore also ∡2 = ∡3 (they are half of the congruent angles)

For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.

Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)

T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4

∡AOD = ∡BCD because their measure is the difference of congruent angles.

6 0
4 years ago
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